Details

Time bar (total: 17.5s)

sample88.0ms

Algorithm
intervals
Results
34.0ms346×body80nan
18.0ms287×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
73816
62185
5878
4312
3107
251
125
011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
0.0b
(+ (log z) (- 1.0 z))
0.2b
(* y (+ (log z) (- 1.0 z)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
9×pow1
8×add-sqr-sqrt distribute-lft-out add-log-exp
7×associate-*r*
6×add-cube-cbrt
5×add-cbrt-cube add-exp-log
4×associate-+r+ log-pow distribute-lft-out--
3×associate-+l+ log-prod sum-log flip3-+ associate-*l* flip-+
2×distribute-rgt-in +-commutative distribute-lft-in associate-*r/
1×associate-+r- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
14.0ms
(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
26.0ms
(+ (log z) (- 1.0 z))
88.0ms
(* y (+ (log z) (- 1.0 z)))

series477.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
256.0ms
(+ (log z) (- 1.0 z))
110.0ms
(* y (+ (log z) (- 1.0 z)))

simplify682.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
21517
1353
0120

prune294.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
9.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (cbrt z) (cbrt z))
293.0ms
(cbrt z)
292.0ms
(cbrt z)
320.0ms
(cbrt z)

simplify1.6s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune516.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(pow z 1/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×*-un-lft-identity add-cube-cbrt
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow unpow-prod-down
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(pow z 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
311.0ms
(* (cbrt z) (cbrt z))
317.0ms
(cbrt z)
273.0ms
(cbrt z)
248.0ms
(pow z 1/3)

simplify2.5s

Counts
92 → 92
Iterations
IterNodes
done5000
21955
1254
089

prune574.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ (log z) (- 1.0 z)))) (cbrt (* y (+ (log z) (- 1.0 z)))))
0.6b
(cbrt (* y (+ (log z) (- 1.0 z))))
0.6b
(cbrt (* y (+ (log z) (- 1.0 z))))
0.6b
(cbrt (* y (+ (log z) (- 1.0 z))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
18.0ms
(* (cbrt (* y (+ (log z) (- 1.0 z)))) (cbrt (* y (+ (log z) (- 1.0 z)))))
14.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
28.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
30.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))

series984.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (cbrt (* y (+ (log z) (- 1.0 z)))) (cbrt (* y (+ (log z) (- 1.0 z)))))
233.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
229.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
210.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
done5000
24087
1814
0278

prune748.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes337.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s9138×body80valid
634.0ms9116×body80nan